161,721

3² × 7 × 17 × 151

161,721 factors as 3^2 × 7 × 17 × 151. Its 24 positive divisors give a proper-divisor sum of 122,823, so this integer is deficient. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 17 × 151

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 284,544

Proper Divisor Sum 122,823

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #161717 ← → #161729

Radix Representation

Decimal	161721
Binary	100111011110111001 (18 bits)
Octal	0o473671
Hexadecimal	0x277B9

Divisor Catalog (24)

1 3 7 9 17 21 51 63 119 151 153 357 453 1,057 1,071 1,359 2,567 3,171 7,701 9,513 17,969 23,103 53,907 161,721

Collatz Trajectory (90 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

161,721 485,164 242,582 121,291 363,874 181,937 545,812 272,906 136,453 409,360 204,680 102,340 51,170 25,585 76,756 38,378 19,189 57,568 28,784 14,392 7,196 3,598 1,799 5,398 2,699 8,098 4,049 12,148 6,074 3,037 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172

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